Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bk |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
145801567828224 = 28 · 38 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13431,-146410] |
[a1,a2,a3,a4,a6] |
Generators |
[133:648:1] |
Generators of the group modulo torsion |
j |
810448/441 |
j-invariant |
L |
5.4682482201452 |
L(r)(E,1)/r! |
Ω |
0.47316496515876 |
Real period |
R |
2.8891870116066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999878223 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60984bh2 40656i2 1008g2 |
Quadratic twists by: -4 -3 -11 |